Explanation

You can use algebra rules for limits:

1. lim (x → c) [f(x) + g(x)] = lim f(x) + lim g(x)

2. lim (x → c) [f(x) − g(x)] = lim f(x) − lim g(x)

3. lim (x → c) [f(x) × g(x)] = lim f(x) × lim g(x)

4. lim (x → c) [f(x) / g(x)] = lim f(x) / lim g(x), if lim g(x) ≠ 0

Quiz

1. Can you split a sum in limits?

2. lim (x → 2) [(x+1) + (2x−3)] = ?

3. Can you split a product in limits?

4. lim (x → 3) [(x−1)(2x+5)] = ?

5. Can you divide limits if denominator = 0?

Answer Key

1. Yes

2. (2+1) + (2×2−3) = 3 + 1 = 4

3. Yes

4. (3−1)(2×3+5) = 2×11 = 22

5. No